ON THE FUNCTION OF BLOCK ANTI DIAGONAL MATRICES AND ITS APPLICATION

Subject Areas : International Journal of Mathematical Modelling & Computations

A.  Sadeghi ¹ (Department of Mathematics, Islamic Azad University, Robat Karim Branch, Tehran, Iran.)

Received: 2016-07-13 Accepted : 2016-07-13 Published : 2016-03-01

Keywords: Matrix functions, Block anti diagonal matrix, Central symmetric X-form matrix, Matrix exponential, Matrix differential function,

Abstract :

The matrix functions appear in several applications in engineering and sciences.The computation of these functions almost involved complicated theory. Thus,improving the concept theoretically seems unavoidable to obtain some new relationsand algorithms for evaluating these functions. The aim of this paper is proposingsome new reciprocal for the function of block anti diagonal matrices. Moreover,some theorems will be proven and applications will be given.

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A. Sadeghi, Some new formulas for the exponential of central symmetric X form matrices, To appear (2016)